Definitizability of Normal Operators on Krein Spaces and Their Functional Calculus

Kaltenbäck, Michael

doi:10.1007/s00020-017-2352-3

Record link:

http://hdl.handle.net/20.500.12708/40

Title:

Definitizability of Normal Operators on Krein Spaces and Their Functional Calculus

Citation:

Kaltenbäck, M. (2017). Definitizability of Normal Operators on Krein Spaces and Their Functional Calculus. Integral Equations and Operator Theory, 87(4), 461–490. https://doi.org/10.1007/s00020-017-2352-3

Publisher DOI:

10.1007/s00020-017-2352-3

CatalogPlus:

AC15187481

Publication Type:

Article - Original Research Article

Language:

English

Authors:

Kaltenbäck, Michael

Organisational Unit:

E101 - Institut für Analysis und Scientific Computing

Journal:

Integral Equations and Operator Theory

ISSN:

0378-620X

Date (published):

2017

Number of Pages:

Publisher:

SPRINGER BASEL AG

Peer reviewed:

Yes

Keywords:

Krein space; Definitizable operators; Normal operators; Spectral theorem

Abstract:

We discuss a new concept of definitizability of a normal operator on Krein spaces. For this new concept we develop a functional calculus ϕ↦ϕ(N) which is the proper analogue of ϕ↦∫ϕdE in the Hilbert space situation.

License:

CC BY 4.0